Number of collinear point 4-tuples in an n X n .. X n 4-dimensional cubical grid.

Terms

a(0) =0a(1) =0a(2) =0a(3) =520a(4) =5632a(5) =31176a(6) =135240a(7) =429360a(8) =1211208a(9) =3028224a(10) =6888216a(11) =13961448a(12) =28262776a(13) =52206088a(14) =91745904a(15) =157574640a(16) =263360352a(17) =418048464a(18) =657072528a(19) =991543416a(20) =1487807520a(21) =2194825240a(22) =3156000184a(23) =4416200736a(24) =6212710248